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Numerical Treatment of a Quasilinear Initial Value Problem With Boundary Layer

dc.authorid Cimen, Erkan/0000-0002-7258-192X
dc.authorscopusid 22133512500
dc.authorscopusid 35110362400
dc.authorscopusid 56082815700
dc.authorscopusid 6506398616
dc.authorwosid Cimen, Erkan/J-2065-2017
dc.contributor.author Cakir, Musa
dc.contributor.author Cimen, Erkan
dc.contributor.author Amirali, Ilhame
dc.contributor.author Amiraliyev, Gabil M.
dc.date.accessioned 2025-05-10T17:39:26Z
dc.date.available 2025-05-10T17:39:26Z
dc.date.issued 2016
dc.department T.C. Van Yüzüncü Yıl Üniversitesi en_US
dc.department-temp [Cakir, Musa] Yuzuncu Yil Univ, Dept Math, Fac Sci, TR-65080 Van, Turkey; [Cimen, Erkan] Yuzuncu Yil Univ, Dept Math, Fac Educ, TR-65080 Van, Turkey; [Amirali, Ilhame] Duzce Univ, Fac Arts & Sci, Dept Math, TR-81620 Duzce, Turkey; [Amiraliyev, Gabil M.] Erzincan Univ, Fac Arts & Sci, Dept Math, TR-24000 Erzincan, Turkey en_US
dc.description Cimen, Erkan/0000-0002-7258-192X en_US
dc.description.abstract The paper deals with the singularly perturbed quasilinear initial value problem exhibiting initial layer. First the nature of solution of differential problem before presenting method for its numerical solution is discussed. The numerical solution of the problem is performed with the use of a finite-fitted difference scheme on an appropriate piecewise uniform mesh (Shishkin-type mesh). An error analysis shows that the method is first-order convergent except for a logarithmic factor, in the discrete maximum norm, independently of the perturbation parameter. Finally, numerical results supporting the theory are presented. en_US
dc.description.woscitationindex Science Citation Index Expanded
dc.identifier.doi 10.1080/00207160.2015.1076805
dc.identifier.endpage 1859 en_US
dc.identifier.issn 0020-7160
dc.identifier.issn 1029-0265
dc.identifier.issue 11 en_US
dc.identifier.scopus 2-s2.0-84945217550
dc.identifier.scopusquality Q3
dc.identifier.startpage 1845 en_US
dc.identifier.uri https://doi.org/10.1080/00207160.2015.1076805
dc.identifier.uri https://hdl.handle.net/20.500.14720/14892
dc.identifier.volume 93 en_US
dc.identifier.wos WOS:000382333700004
dc.identifier.wosquality Q2
dc.language.iso en en_US
dc.publisher Taylor & Francis Ltd en_US
dc.relation.publicationcategory Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı en_US
dc.rights info:eu-repo/semantics/closedAccess en_US
dc.subject Singular Perturbation en_US
dc.subject Exponentially Fitted Difference Scheme en_US
dc.subject Shishkin Mesh en_US
dc.subject Initial Layer en_US
dc.subject Uniformly Convergence en_US
dc.title Numerical Treatment of a Quasilinear Initial Value Problem With Boundary Layer en_US
dc.type Article en_US

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